Propagation of nonlinear waves in an inhomogeneous gas-liquid medium. Derivation of wave equations in the Korteweg-de Vries approximation |
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Authors: | A A Lugovtsov |
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Institution: | (1) Kutateladze Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, 630090 Novosibirsk, Russia |
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Abstract: | Equations describing the propagation of waves of small but finite amplitude in a liquid with gas bubbles are derived. The
bubble distribution density is a continuous function of bubble size and spatial coordinates. It is found that, for a uniform
bubble distribution, the obtained equations become the Korteweg-de Vries, Kadomtsev-Petviashvili and Khokhlov-Zabolotskaya
equations.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 2, pp. 188–197, March–April, 2009. |
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Keywords: | bubble liquid inhomogeneous medium continuous propagation wave equation |
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